Interpolation Methods for Stochastic Processes Spaces

被引：7
作者：
Nursultanov, E. [1 ,2 ]
Aubakirov, T. [3 ]
机构：
[1] Lomonosov Moscow State Univ, Kazakh Branch, Astana 010010, Kazakhstan
[2] Gumilyov Eurasian Natl Univ, Astana 010010, Kazakhstan
[3] Autonomous Org Educ Nazarbayev Intellectual Sch, Astana 010010, Kazakhstan
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
D O I：
10.1155/2013/152043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The scales of classes of stochastic processes are introduced. New interpolation theorems and boundedness of some transforms of stochastic processes are proved. Interpolation method for generously monotonous processes is entered. Conditions and statements of interpolation theorems concern the fixed stochastic process, which differs from the classical results.
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页数：12
相关论文
共 20 条
[1]  
[Anonymous], 1990, STOCHASTIC PROCESSES
[2]  
[Anonymous], 1976, GRUNDLEHREN MATH WIS
[3]  
Aubakirov T, 2010, EURASIAN MATH J, V1, P8
[4]   Spaces of stochastic processes, interpolation theorems [J].
Aubakirov, T. U. ;
Nursultanov, E. D. .
RUSSIAN MATHEMATICAL SURVEYS, 2006, 61 (06) :1167-1169
[5]  
Besov O. V., 2003, TR MAT I STEKLOVA, V243, p[87, 80]
[6]  
Besov O. V., 1999, T MAT I IM V A STEKL, V227, p[56, 50]
[7]  
Besov O.V., 2005, DOKL AKAD NAUK, V401, P7
[8]  
Besov O. V., 1997, T MAT I STEKLOVA, V219, p[80, 73]
[9]   EXTRAPOLATION AND INTERPOLATION OF QUASI-LINEAR OPERATORS ON MARTINGALES [J].
BURKHOLDER, DL ;
GUNDY, RF .
ACTA MATHEMATICA UPPSALA, 1970, 124 (3-4) :249-+
[10]  
Chao J.-A., 1974, T AM MATH SOC, V193, P199
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